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{c}

With $S^{\mu\nu}=\frac14[\gamma^\mu,\gamma^\nu]$, the spinor representation is
$$
S[\Lambda]=\exp\left(\frac12\Omega_{\mu\nu}S^{\mu\nu}\right).
$$
It obeys $S^{-1}\gamma^\mu S=\Lambda^\mu{}_\nu\gamma^\nu$.


Spinor representation of the Lorentz group

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 301 / 3 / i / Solution

Spinor representation of the Lorentz group

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Spinor representation of the Lorentz group

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